Q3 of 186 Page 263

A vertical stick 1.8 m long casts a shadow 45 cm long on the ground. At the same time, what is the length of the shadow of a pole 6 m high?

Let DF be the stick of 1.8 m height and AB be the pole of 6 m height.


 


AC and FE are the shadows of the pole and stick respectively.


 


FE = 45cm = .45 m


 



 


Since the shadows are formed at the same time, the two Δs are similar by AA similarity criterion


 


So


 


⇒


 


⇒ x = 1.5 m

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